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1. Consider the 27r-periodic function f such that f (x) (a) Show that the Fourier series of f (x) is a; 0 2( l)k+l

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1. Consider the 27r-periodic function f such that f (x) (a) Show that the Fourier series of f (x) is a; 0 2( l)k+l ( l)k+l sin ((2k 1)) + sin(2kx) rr(2k 2k (b) Graph, F the Fourier series of f for 37T a: 37. (c) Find the following: f(100T) ii. F(IOOT)

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